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122000031 = 3221796221
BaseRepresentation
bin1110100010110…
…01001010011111
322111120020120200
413101121022133
5222213000111
620034514543
73010661136
oct721311237
9274506520
10122000031
116295847a
1234a35a53
131c37738a
14122ba91d
15aa9d256
hex745929f

122000031 has 12 divisors (see below), whose sum is σ = 176331480. Its totient is φ = 81282960.

The previous prime is 122000029. The next prime is 122000033. The reversal of 122000031 is 130000221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122000029) and next prime (122000033).

It is not a de Polignac number, because 122000031 - 21 = 122000029 is a prime.

It is a super-2 number, since 2×1220000312 = 29768015128001922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 121999977 and 122000022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16501 + ... + 22721.

It is an arithmetic number, because the mean of its divisors is an integer number (14694290).

Almost surely, 2122000031 is an apocalyptic number.

122000031 is a deficient number, since it is larger than the sum of its proper divisors (54331449).

122000031 is a wasteful number, since it uses less digits than its factorization.

122000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8406 (or 8403 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 122000031 is about 11045.3624204912. The cubic root of 122000031 is about 495.9676083924.

Adding to 122000031 its reverse (130000221), we get a palindrome (252000252).

The spelling of 122000031 in words is "one hundred twenty-two million, thirty-one", and thus it is an aban number.

Divisors: 1 3 9 2179 6221 6537 18663 19611 55989 13555559 40666677 122000031